Titlebook: Dynamical Systems with Applications using MATLAB®; Stephen Lynch Textbook 2014Latest edition The Editor(s) (if applicable) and The Author(

Keratin

Nonlinear Discrete Dynamical Systems,f universality..On completion of this chapter, the reader should be able to.• produce graphical iterations of one-dimensional iterated maps;.• test whether or not certain systems are chaotic;.• plot bifurcation diagrams;.• apply some of the theory to model simple problems from biology, economics, ne

拖债

Complex Iterative Maps,etion of this chapter, the reader should be able to.• carry out simple complex iterations;.• plot Julia sets and the Mandelbrot set using simple MATLAB programs;.• determine boundaries of points with low periods;.• find basins of attraction (or domains of stability).

伪善

Electromagnetic Waves and Optical Resonators,applications..• To apply some of the theory of nonlinear dynamical systems to model a real physical system..On completion of this chapter, the reader should be able to.• understand the basic theory of Maxwell’s equations;.• derive the equations to model a nonlinear simple fiber ring (SFR) resonator;

deciduous

Fractals and Multifractals,d define a multifractal formalism..• To consider some very simple examples..On completion of this chapter the reader should be able to.• plot early-stage generations of certain fractals using either graph paper, pencil, and rule, or MATLAB;.• determine the fractal dimension of some mathematical frac

DECRY

形容词

Differential Equations,and uniqueness theorem..On completion of this chapter the reader should be able to.• solve certain first- and second-order differential equations;.• apply the theory to chemical kinetics and electric circuits;.• interpret the solutions in physical terms.• understand the existence and uniqueness theo